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Finding the Third Proportional to 122.92 and 171.02

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Solution

The third proportional to 122.92 and 171.02 is: 237.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.92 : 171.02 = 171.02 : x
  2. Step 2: Convert to fraction form
    122.92/171.02 = 171.02/x
  3. Step 3: Cross multiply
    122.92x = 171.02 × 171.02
  4. Step 4: Simplify right side
    122.92x = 29,249.01
  5. Step 5: Solve for x
    x = 29,249.01/122.92
  6. Step 6: Final answer
    x = 237.95

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.